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Lecture 5: Mesh Analysis and Source Transformations Nilsson 4.5-4.9

Lecture 5: Mesh Analysis and Source Transformations Nilsson 4.5-4.9. ENG17 (Sec. 1): Circuits I Summer 1 2014. June 30, 2014. Overview. Mesh-Currents Mesh-Current w/Dependent Source Special Cases Node-Voltage vs. Mesh-Current Source Transformations. Go Mesh or Go Home.

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Lecture 5: Mesh Analysis and Source Transformations Nilsson 4.5-4.9

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  1. Lecture 5: Mesh Analysis and Source TransformationsNilsson 4.5-4.9 ENG17 (Sec. 1): Circuits I Summer 1 2014 June 30, 2014

  2. Overview • Mesh-Currents • Mesh-Current w/Dependent Source • Special Cases • Node-Voltage vs. Mesh-Current • Source Transformations

  3. Go Mesh or Go Home • Mesh = loop with no other loops inside it • Mesh-Current Method needs [be – (ne – 1)] equations • Planar circuits only • Mesh current = current that exist only in the perimeter of a mesh • Mesh current ≠ Branch current • maybe

  4. Mesh Currents

  5. Evolution Branch Currents Mesh Currents

  6. Strategy for Mesh-Current Analysis • Assign mesh currents. • Apply KVL to each mesh. • Use Ohm’s law to express voltages in terms of mesh currents • Solve the resulting simultaneous equations to get mesh currents. • Use mesh currents to find branch currents and/or any other parameter.

  7. Example

  8. Overview • Mesh-Currents • Mesh-Current w/Dependent Source • Special Cases • Node-Voltage vs. Mesh-Current • Source Transformations

  9. (Don’t) Mesh It Up

  10. Overview • Mesh-Currents • Mesh-Current w/Dependent Source • Special Cases • Node-Voltage vs. Mesh-Current • Source Transformations

  11. Mesh with Current Source

  12. Supermesh…Super Cool

  13. Example

  14. Example

  15. Overview • Mesh-Currents • Mesh-Current w/Dependent Source • Special Cases • Node-Voltage vs. Mesh-Current • Source Transformations

  16. Node…Mesh…and all the rest • Why are we here? • Difficult answer • Try to make life easier • Supernodes or supermeshes?

  17. Comparison

  18. Overview • Mesh-Currents • Mesh-Current w/Dependent Source • Special Cases • Node-Voltage vs. Mesh-Current • Source Transformations

  19. Source Transformations • Akin to series / parallel reductions and delta-to-wye transformation • Allows a voltage source with resistor in series to be replaced by current source in parallel with same resistor

  20. Example

  21. Additional Elements

  22. Example

  23. Example

  24. Recap • Mesh-Currents • Mesh-Current w/Dependent Source • Special Cases • Node-Voltage vs. Mesh-Current • Source Transformations

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